I don't know entirely the origins of the fiberglass fabric style nomenclature. MIL-C-9084 (now superseded by AMS-C-9084) defined many weave styles, itemized by typical MIL classifications (Type/Class), and identified (for reference) the commercial designations. The commercial designations were flag noted: "Commercial designations are nominal weights per square yard are shown for information only and are not requirements. Commercial designations for a given type may vary with different suppliers." Beyond that, I don't know how style numbers are decided and/or whether they're correlated with other manufacturers in the fiberglass weaving industry or the AMS-C-9084 folks. Good question though...I'd like to know more about it as well...
Regarding the weave tightness (I've always called it weave openness, but there's no industry accepted term that I'm aware of) I don't know of any common metric. I've seen obscure things like air permeability reported from time to time, but it's certainly not common and permeability would be a function of more than weave openness (e.g. areal weight). For me, the measurement has been experiential...seeing and using...samples...swatch books, etc. Of course, advice and insight from the manufacturer is always helpful. (just to make sure we're talking about the same thing...I use the term openness in describing the visual differences between the weaves in the attached photo)